Determinants (Class 12)
Properties, minors, cofactors, area of triangle, adjoint, system of linear equations.
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Take a full mock →Q1 · Determinants (Class 12) · EASY
Find the area (in square units) of the triangle whose vertices are A(1, 2), B(4, 6), and C(3, -2).
Q2 · Determinants (Class 12) · MEDIUM
If the system of equations x + 2y + 3z = 6, 2x + 3y + z = 7, and 3x + 4y + kz = 10 has no solution, then the value of k is:
Q3 · Determinants (Class 12) · HARD
If A is a 3×3 matrix with |A| = 4, then the value of |adj(adj A)| is:
Q4 · Determinants (Class 12) · EASY
If A is a 3×3 matrix with det(A) = 4, then the value of det(3A) is
Q5 · Determinants (Class 12) · MEDIUM
If A is a square matrix of order 3 and det(A) = −5, then det(adj A) is equal to